Search a number
-
+
64258116 = 223131093779
BaseRepresentation
bin1111010100100…
…0000001000100
311110220122120020
43311020001010
5112422224431
610213135140
71410120306
oct365100104
9143818506
1064258116
11332aa08a
121962a4b0
131040b170
148769976
155994696
hex3d48044

64258116 has 48 divisors (see below), whose sum is σ = 162993600. Its totient is φ = 19585152.

The previous prime is 64258091. The next prime is 64258121. The reversal of 64258116 is 61185246.

64258116 is a nontrivial binomial coefficient, being equal to C(11337, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15115 + ... + 18893.

It is an arithmetic number, because the mean of its divisors is an integer number (3395700).

Almost surely, 264258116 is an apocalyptic number.

64258116 is the 11336-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64258116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496800).

64258116 is an abundant number, since it is smaller than the sum of its proper divisors (98735484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64258116 is a wasteful number, since it uses less digits than its factorization.

64258116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3906 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 64258116 is about 8016.1160171245. The cubic root of 64258116 is about 400.5370203668.

It can be divided in two parts, 6425 and 8116, that added together give a palindrome (14541).

The spelling of 64258116 in words is "sixty-four million, two hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 3779 4251 5668 7558 8502 11337 15116 17004 22674 45348 49127 98254 147381 196508 294762 411911 589524 823822 1235733 1647644 2471466 4942932 5354843 10709686 16064529 21419372 32129058 64258116